Lagrangian Floer homology was introduced by Floer to attack the Arnold conjecture. We'll begin by explaining basic ideas in Morse theory and symplectic geometry. Then, we'll show how Lagrange Floer homology emulates Morse Theory for finite-dimensional manifolds. Lastly, we will link Lagrangian Floer homology to the Arnold conjecture, focusing on the intersection of Lagrangian submanifolds.